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Finding the Fourth Proportional to 61,411.80, 92,117.66 and 27,638.34

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Solution

The fourth proportional to 61,411.80, 92,117.66 and 27,638.34 is: 41,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,411.80 : 92,117.66 = 27,638.34 : x
  2. Step 2: Convert to fraction form
    61,411.80/92,117.66 = 27,638.34/x
  3. Step 3: Cross multiply
    61,411.80x = 92,117.66 × 27,638.34
  4. Step 4: Simplify right side
    61,411.80x = 2,545,979,207.08
  5. Step 5: Solve for x
    x = 2,545,979,207.08/61,411.80
  6. Step 6: Final answer
    x = 41,457.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.